1 Answer

PDG · Answer 1 · 2020-09-12T23:50:36+0000

The important thing to remember is that the square root function is defined only for non-negative arguments. In other words,
$\sqrt x$ is only defined if
$x\ge0$ , and thus has domain
$x\ge0$ .

Some examples:

7.
√(-x) has domain
$-x\ge0$ , or
$x\le0$

10.
√(x+7) has domain
$x+7\ge0$ , or
$x\ge-7$

14.
√(-x-2) has domain
$-x-2\ge0$ , or
$x+2\le0$ , or
$x\le-2$

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